Hazard function estimation with nonnegative “wavelets”

Wavelets have been successfully used for nonparametric function estimation, but for density and hazard functions, estimators must be nonnegative. In this paper, we develop a quasi-continuous nonnegative “wavelet” basis from Daubechies wavelets with good approximation properties. Using this basis, we develop a Bayesian nonparametric estimator of the hazard function for randomly right-censored data.